657533413 has 2 divisors, whose sum is σ = 657533414. Its totient is φ = 657533412.

The previous prime is 657533389. The next prime is 657533417. The reversal of 657533413 is 314335756.

657533413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 656486884 + 1046529 = 25622^2 + 1023^2 .

It is a cyclic number.

It is not a de Polignac number, because 657533413 - 2²¹ = 655436261 is a prime.

It is a super-4 number, since 4×657533413⁴ (a number of 36 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (657533417) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 328766706 + 328766707.

It is an arithmetic number, because the mean of its divisors is an integer number (328766707).

Almost surely, 2^657533413 is an apocalyptic number.

It is an amenable number.

657533413 is a deficient number, since it is larger than the sum of its proper divisors (1).

657533413 is an equidigital number, since it uses as much as digits as its factorization.

657533413 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 113400, while the sum is 37.

The square root of 657533413 is about 25642.4143364076. The cubic root of 657533413 is about 869.5727910924.

The spelling of 657533413 in words is "six hundred fifty-seven million, five hundred thirty-three thousand, four hundred thirteen".